Question 1185854
let s = Rico's bicycle's speed
"Pedro can drive 4 times as fast as Rico can ride his bicycle."
therefore
4s = Pedro's speed
:
 If it takes Rico 3 hours longer than Pedro to travel 76 miles, how fast can Rico ride his bicycle?
Write a time equation, time = dist/speed
R's time - P's time =  3 hrs
{{{76/s}}} - {{{76/(4s)}}} = 3
multiply eq by 4s, cancel the denominators
4(76) - 76 = 3(4s)
304 - 76 = 12s
228 = 12s
s = 228/12
s = 19 mph is Rico's speed on his bike
:
:
Check this, P's speed: 4 * 19 = 76 mph
76/19 = 4 hrs
76/76 = 1 hrs
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differ: 3 hrs